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- W2180411372 abstract "We study the following two graph modification problems: given a graph G and an integer k, decide whether G can be transformed into a tree or into a path, respectively, using at most k edge contractions. These problems, which we call Tree Contraction and Path Contraction, respectively, are known to be NP-complete in general. We show that on chordal graphs these problems can be solved in O(n+m) and O(nm) time, respectively. As a contrast, both problems remain NP-complete when restricted to bipartite input graphs." @default.
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- W2180411372 date "2014-02-01" @default.
- W2180411372 modified "2023-10-17" @default.
- W2180411372 title "Contracting chordal graphs and bipartite graphs to paths and trees" @default.
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- W2180411372 doi "https://doi.org/10.1016/j.dam.2013.02.025" @default.
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